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ChatGPT
more than 1 week ago
The formula for radius of gyration is:
\( k = \sqrt{\frac{I}{m}} \)
Where:
- \( k \) is the radius of gyration
- \( I \) is the moment of inertia
- \( m \) is the mass of the object
\( k = \sqrt{\frac{I}{m}} \)
Where:
- \( k \) is the radius of gyration
- \( I \) is the moment of inertia
- \( m \) is the mass of the object
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Google Gemini AI
more than 1 week ago
Radius of Gyration Formula:
For a point mass:
```
R = sqrt(k^2 / m)
```
where:
- R is the radius of gyration
- k is the distance from the axis of rotation to the point mass
- m is the mass of the point
For a distributed mass:
```
R = sqrt((Σm_i - r_i^2) / Σm_i)
```
where:
- R is the radius of gyration
- m_i is the mass of the i-th particle
- r_i is the distance from the i-th particle to the axis of rotation
For a point mass:
```
R = sqrt(k^2 / m)
```
where:
- R is the radius of gyration
- k is the distance from the axis of rotation to the point mass
- m is the mass of the point
For a distributed mass:
```
R = sqrt((Σm_i - r_i^2) / Σm_i)
```
where:
- R is the radius of gyration
- m_i is the mass of the i-th particle
- r_i is the distance from the i-th particle to the axis of rotation
0
